I have done moving with kids twice. We had family to look after the girls. I was pg the 1st time, and I suffered for it for the next week, even though I tried to avoid doing too much, I ended up very sore. That was a move about 20 minutes away and was pretty easy because we had people around who could easily do a little bit and then go about their day. Our second move was a big one. I wasnt pg officially (pre conception but the cycle I fell pg) I took the girls out the day the movers uplifted our things and DH supervised the movers. They had done the packing the day before. And on the day they delivered to our new house DH took the girls out while the movers got eveything out of the truck and unpacked.

If you have someone available to look after DD for you or to help DP with the move then do it post baby, because then you can still do little bits without hurting yourself. Do start looking for a house now though, and if you find the perfect one and get approved early enough then you may need to go out on the day of the move so as to remain out of the way.